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A Decision Rule Aggregation Approach to Multiple Criteria-Multiple Participant Sorting |
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| Authors: | Y Chen D Marc Kilgour Keith W Hipel |
| Institution: | 1. College of Economics and Management, Nanjing University of Aeronautics and Astronautics, Nanjing, 210016, Jiangsu, China 2. Department of Mathematics, Wilfrid Laurier University, Waterloo, ON, N2L 3C5, Canada 3. Department of Systems Design Engineering, University of Waterloo, Waterloo, ON, N2L 3G1, Canada |
| Abstract: | A system that aggregates case-based linguistic decision rules using a hybrid of the dominance-based rough set approach (DRSA) and the Dempster–Shafer (DS) theory of evidence is proposed for multiple criterion-multiple participant sorting. First, DRSA is employed to infer linguistic decision rules that estimate the preferences of a few participants by means of their evaluations of representative case sets. Next, DS theory is applied to aggregate the decision rules triggered by all participants’ evaluations of an alternative, thereby generating an overall decision recommendation for the alternative. The method is demonstrated on a numerical example. |
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